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Finding the Fourth Proportional to 583.20, 875.52 and 545.76

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Solution

The fourth proportional to 583.20, 875.52 and 545.76 is: 819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.20 : 875.52 = 545.76 : x
  2. Step 2: Convert to fraction form
    583.20/875.52 = 545.76/x
  3. Step 3: Cross multiply
    583.20x = 875.52 × 545.76
  4. Step 4: Simplify right side
    583.20x = 477,823.80
  5. Step 5: Solve for x
    x = 477,823.80/583.20
  6. Step 6: Final answer
    x = 819.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.